Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

the ordered pair (2, negative 1) ; y equals negative three-halves x plus 6.

Answer 1

Parallel lines have the same slope but different y-intercepts

y = mx + b

m is the slope
b is the y-intercept

Answer 2

You are given the equation

\( y = -\dfrac{3}{2} x + 6 \)

What is the slope of this equation?
What is the slope of your parallel line going to be?

Answer 3

To calculate the y-intercept for the line passing through the point (2, -1), you need to plug the point in.

You know the slope of the line but not the y-intercept. You also know that the line goes through the point (2, -1).

Replace x with 2
and y with -1

and solve for b